High Quality Content by WIKIPEDIA articles! In the mathematical field of graph theory, the Durer graph is an undirected graph with 12 vertices and 18 edges. It is named after Albrecht Durer, whose 1514 engraving Melencolia I includes a depiction of Durer's solid, a polyhedron having the Durer graph as its skeleton. Durer's solid is combinatorially equivalent to a cube with two opposite vertices truncated, although Durer's depiction of it is not in this form but rather as a truncated rhombohedron. The exact geometry of the solid depicted by Durer is a subject of some academic debate.

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